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How many different ways can choreographer choose six dancers

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Reference no: EM131586951

Question: 1. A dance company has ten members. How many different ways can a choreographer choose six dancers for a dance piece?

2. According to Dave Perkins, a chain reaction in the iPhone game Drop 7 can lead to scores of 7,39,109,224,391,617,... . Assuming this integer sequence continues in the fashion it started, what should the next number be?

3. Suppose that G has all vertices of degree 3. Prove that G can be decomposed into copies of K1,3 (a.k.a. claws), with vertices of different copies possibly overlapping, if and only if G is bipartite.

Reference no: EM131586951

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